103006080 has 160 divisors (see below), whose sum is σ = 368038440. Its totient is φ = 27454464.

The previous prime is 103006069. The next prime is 103006081. The reversal of 103006080 is 80600301.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×103006080² = 21220505033932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103006081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50847 + ... + 52833.

Almost surely, 2^103006080 is an apocalyptic number.

103006080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184019220).

103006080 is an abundant number, since it is smaller than the sum of its proper divisors (265032360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103006080 is an equidigital number, since it uses as much as digits as its factorization.

103006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 103006080 is about 10149.1911007725. The cubic root of 103006080 is about 468.7640379796.

Adding to 103006080 its reverse (80600301), we get a palindrome (183606381).

The spelling of 103006080 in words is "one hundred three million, six thousand, eighty".